Sentence examples for present notation from inspiring English sources

The present notation and terminology is the same as in [1].

In this section we briefly present notation, definitions and some basic facts about logarithmic signatures, covers for finite groups and their induced mappings.

The previous analysis [ 6] identified 105 EC nodes (individual biochemical reactions) that included predicted analogous enzymes (NISE, under the present notation).

For example, we re-analyzed the β-thalassemia data by using r, which is defined as D/ p 1- p) q 1- q) in the present notation, as the disequilibrium measure and showed the analysis in Additional file 3. The disequilibrium distribution shows an almost identical pattern to that demonstrated in Figure 1, in which D was the disequilibrium measure.

In fact, the marker allele frequency, p, in the controls can be expressed in the present notation as (12) p ′ = Pr (M | A ) Pr (A | controls ) + Pr (M | a ) Pr (a | controls ) = p + D f 2 - f 1 q + f 3 - f 2 1 - q 1 - π where π =  f1 q + 2 f2 q(1 -  q) +  f3(1 -  q) is the population prevalence of the disease attributed to the disease locus.

"Notations, assumptions and system description" present notations, assumptions and the description of the system.

In this paper, we present notations to explicitly represent the structural and behavioral aspects of each pattern in the applications and compositions of design patterns.

In the present notations, the probability has a form of 2 r- r2 = 2(n2+ n3)/ n where n = n1+ n1+ n1+ n1+

Section 2 presents notation, definitions, and properties of third-order tensors, and the exact CP decomposition problem is then stated.

Next Section 1.2 presents notation that will be used and basic families of orthogonal polynomials that will appear in the sequel.

For convenience, we first present some notation.